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Showing 1 to 20 of 1099 for “"Fractional"”.

  1. Fractional statistics

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1992.

    mit Repository record for Fractional statistics (opens in a new tab)

  2. Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models

    … two main parts: Monotonicity results on discrete fractional operators and discrete fractional rheological constitutive equations. In the first part of the thesis, we introduce and prove new monotonicity concepts in discrete fractional calculus. In the remainder, we carry previous results about …

    wku-diss Repository record for Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models (opens in a new tab)

  3. Fractional Order Systems:PID Controller Design and Fractional Order Element Modeling

    … Course in Systems Engineering is centered on Fractional, or also noticed as Non-Integer Order, Systems. The Ph.D. Thesis' purpose is to present the auto-tuning procedure of Fractional Order PID Controllers PID proposing also a future implementation via fractional order elements. The Thesis is …

    catania Repository record for Fractional Order Systems:PID Controller Design and Fractional Order Element Modeling (opens in a new tab)

  4. Fractional quantum field theory

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-03-28 without embargo terms

    uiuc Repository record for Fractional quantum field theory (opens in a new tab)

  5. Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model

    … be the 1/2-th or square root derivative of x. Fractional calculus generalize the operation of differentiation and integration to non-integer orders. Although it seems not to have significant applications, research on this subject could be valuable in understanding the nature. <br />The main …

    wku-diss Repository record for Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model (opens in a new tab)

  6. Wavelets operational methods for fractional differential equations and systems of fractional differential equations

    … systems. A new operational matrix of fractional order derivative and integration based on this polynomial was also developed and used together with collocation method to solve FDEs, systems of FDEs and fractional order delay differential equations. Error bound for some of the …

    uthm Repository record for Wavelets operational methods for fractional differential equations and systems of fractional differential equations (opens in a new tab)

  7. Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition

    … of and then compare smallest eigenvalues for the fractional boundary value problems D_(0^+)^α u+λ_1 p(t)u=0 and $D_(0^+)^α u+λ_2 q(t)u=0,0< t< 1, satisfying the boundary conditions when n-1<α≤ n. First, we consider the case when 0<β<n-1, satisfying u^(i) (0)=0, i=0,1,…,n-2,D_(0^+)^β u(1)=0. Then, …

    eku Repository record for Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition (opens in a new tab)

  8. Fractional modelling of rechargeable batteries

    To develop a compact battery model, many authors begin by measuring the impedance of a battery over a frequency range of interest. Most of the models in the literature are either Thevenin-style or Randles’ model consisting of one or two RC networks and sometimes a Warburg element. These models are …

    waikato-masters Repository record for Fractional modelling of rechargeable batteries (opens in a new tab)

  9. Fractional Integration and Political Modeling

    … dissertation investigates the consequences of fractional dynamics for political modeling. Using Monte Carlo analyses, Chapters II and III investigate the threats to statistical inference posed by including fractionally integrated variables in bivariate and multivariate regressions. Fractional

    unt Repository record for Fractional Integration and Political Modeling (opens in a new tab)

  10. A fractional proposal for architecture

    "It has neither name nor place. I shall repeat the reason why I was describing it to you: from the number of imaginable cities we must exclude those whose elements are assembled without a connecting thread, an inner rule, a perspective, a discourse. With cities, it is as with dreams: everything …

    vt Repository record for A fractional proposal for architecture (opens in a new tab)

  11. Fractional Order Identification Method and Control: Development of Control for Non-Minimum Phase Fractional Order System

    … new method for analyzing dc-dc converters using fractional order calculus. This provides control systems designers the ability to analyze converter frequency response with Bode plots that have pole-zero contributions other than +/- 20 dB/decade. This dissertation details a systematic method of …

    arkansas Repository record for Fractional Order Identification Method and Control: Development of Control for Non-Minimum Phase Fractional Order System (opens in a new tab)

  12. Evaluation of a Fractional Theis Equation

    … found faulty and a new robust derivation of a fractional Theis solution developed by Baeumer et al. (2009) is presented. The new fractional Theis equation solution type curves (drawdown and radius of influence) are evaluated for relationships between aquifer properties and a fractional Theis …

    unr Repository record for Evaluation of a Fractional Theis Equation (opens in a new tab)

  13. Fractional Labelmap Representation of Anatomical Structures

    … The goal of this thesis is to develop fractional labelmaps as a structure representation that preserves more structural information and reduces conversion errors. METHODS: The effect of voxelization on treatment planning metrics was tested by comparing DVHs calculated using varying …

    queens Repository record for Fractional Labelmap Representation of Anatomical Structures (opens in a new tab)

  14. Topological field theories and fractional statistics

    We examine the problem of determining which representations of the braid group on a Riemann surface are carried by the wave function of a quantized Abelian Chern-Simons theory interacting with non-dynamical matter. We generalize the quantization of Chern-Simons theory to the case where the …

    ubc Repository record for Topological field theories and fractional statistics (opens in a new tab)

  15. ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES

    … we present a generalization to two existing fractional integrals and derivatives, namely, the Riemann-Liouville and Hadamard fractional operators. The existence and uniqueness results for single term fractional differential equations (FDE) have also been established. We also obtain the Mellin …

    siu-theses Repository record for ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES (opens in a new tab)

  16. Fractional Diffusion in Gaussian Noisy Environment

    … stochastic partial differential equation of fractional orders both in time and space variables. We prove the existence and uniqueness of the solution and calculate the moment bounds of the solution when the noise has Reisz kernel as space covariance. Along the way, we obtain some new …

    ku Repository record for Fractional Diffusion in Gaussian Noisy Environment (opens in a new tab)

  17. Bi-fractional transforms in phase space

    … relationship considered here is called the bi-fractional displacement operator, O(α, β; θα, θβ). Additionally, the bi-fractional displacement operators lead to the novel concept of bi-fractional coherent states. The generalisation from Fourier transform to fractional Fourier transform can be …

    bradford Repository record for Bi-fractional transforms in phase space (opens in a new tab)

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